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Finding the Third Proportional to 1,766,761,205 and 3,827,966,644

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Solution

The third proportional to 1,766,761,205 and 3,827,966,644 is: 8,293,893,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,761,205 : 3,827,966,644 = 3,827,966,644 : x
  2. Step 2: Convert to fraction form
    1,766,761,205/3,827,966,644 = 3,827,966,644/x
  3. Step 3: Cross multiply
    1,766,761,205x = 3,827,966,644 × 3,827,966,644
  4. Step 4: Simplify right side
    1,766,761,205x = 14,653,328,627,576,623,104
  5. Step 5: Solve for x
    x = 14,653,328,627,576,623,104/1,766,761,205
  6. Step 6: Final answer
    x = 8,293,893,134.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.